Computer Science ›› 2015, Vol. 42 ›› Issue (Z6): 24-28.

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Fuzzy Reasoning Triple I Sustaining Method Based on Family of Implication Operator L-λ-Π

SHUANG Jing-ning, HUI Xiao-jing and HE Jin-rui   

  • Online:2018-11-14 Published:2018-11-14

Abstract: The new family of implication operator L-λ-Π was given,and that it is a general form on ukasiewicz implication operator and Goguen implication operator was illustrated. Three methods were discussed and proved based on family of implication operator L-λ-Π,and they are FMP model,FMT model fuzzy reasoning triple I sustaining method and α- triple I sustaining method.

Key words: Family of implication operator L-λ-Π,Fuzzy reasoning,Triple I sustaining method,α- triple I sustaining method

[1] Zadeh L A.Outline of new approach to the analysis of complex systems and decision processes [J].IEEE Trans on Systems,Man and Cybernetics,1973,3(1):28-33
[2] 王国俊.模糊推理的全蕴涵三I算法[J].中国科学(E辑),1999,29(1):43-53
[3] 王国俊.模糊推理的一个新方法[J].模糊系统与数学,1999,13(3):1-9
[4] 徐蔚鸿,谢中科,杨静宇,等.两类模糊推理算法的连续性和逼近性[J].软件学报,2004,15(10):1485-1492
[5] 王国俊,宋庆燕.一种新型的三I算法及其逻辑基础[J].自然科学进展,2003,13(6):575-581
[6] 裴道武.FMT问题的两种三I算法及其还原性[J].模糊系统与数学,2001,15(4):1-6
[7] 王国俊.数理逻辑引论与归结原理[M].北京:科学出版社,2006
[8] 王国俊.非经典数理逻辑与近似推理[M].北京:科学出版社,2008
[9] 裴道武.模糊推理全蕴涵算法及其还原性[J].数学研究与评论,2004,24(2):359-368
[10] 宋士吉,吴澄.模糊推理的反向三I算法[J].中国科学(E辑),2002,32(2):230-246
[11] 宋士吉,吴澄.模糊推理的反向三I约束算法[J].自然科学进展,2002,12(1):95-100
[12] 彭家寅,侯建,李洪兴.基于某些常见蕴涵算子的反向三I算法[J].自然科学进展,2005,15(4):404-410
[13] 彭家寅.基于某些常见蕴涵算子的模糊推理全蕴涵三I约束算法[J].自然科学进展,2005,15(5):539-546
[14] 张兴芳,孟广武.蕴涵算子族及其应用[J].计算机学报,2007,30(3):448-453
[15] 张森,李成允,张兴芳.正则蕴涵算子族G-λ-R0及其三I支持算法[J].计算机工程与应用,2009,45(22):29-31
[16] 支晓斌,范九伦.一个新的蕴涵算子族[J].模糊系统与数学,2010,24(4):12-18
[17] 张森,张兴芳.一类蕴涵算子下的支持度及α-三I算法[J].计算机工程与应用,2011,47(1):43-45
[18] 彭家寅.基于蕴涵算子族H(p,λ)的三I算法模糊系统[J].计算机工程与应用,2013,49(1):53-58

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